vector w has magnitude 25.0 and direction angle 41.7 degrees. Calculate the horizontal and vertical components of w
1 answer:
Consider the attached picture. It represents a vector, centered in the origin with angle 41.7 degrees, and a circumference with radius 25, centered in the origin.
As you can see, the horizontal and vertical components of the vector correspond to the lengths of segments OD and OC, respectively.
You might recognize this scenario from you trigonometry class: if the circle had radius 1, we would have
Since the circle has radius 25, we have to scale those coordinates:
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Given that population of the city is 280000.
Rate of growth of the population = r = 4.5% = 0.045
We have to find population after 15 years so time
t = 15
We can use growth formula to find the required population which is given by :
Where P= starting population = 280000
r= rate of growth = 0.45
t= time = 15
now plug these values into above formula.
Hence population after 15 years will be approx 73735743.